A036482 a(n) = partition(11n+9) mod 11.

8, 0, 0, 0, 8, 0, 0, 8, 8, 0, 0, 0, 8, 0, 8, 8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 8, 5, 8, 5, 5, 5, 5, 2, 5, 5, 5, 2, 5, 2, 2, 10, 2, 2, 2, 10, 10, 10, 10, 7, 10, 7, 7, 4, 7, 4, 4, 1, 4, 1, 1, 9, 1, 9, 9, 6, 9, 3, 6, 0, 3, 0, 0, 8, 8, 5, 5, 2, 2, 10, 2, 4, 7, 4, 4, 9, 1, 6, 6, 0, 3, 8, 8, 2, 5, 10, 10

Offset

0,1

Links

Amiram Eldar, Table of n, a(n) for n = 0..10000

Formula

a(n) = A020919(11*n + 9). - Amiram Eldar, Aug 01 2025

Mathematica

a[n_] := Mod[PartitionsP[11*n + 9], 11]; Array[a, 100, 0] (* Amiram Eldar, Aug 01 2025 *)

Prog

(PARI) a(n) = numbpart(11*n + 9) % 11; \\ Amiram Eldar, Aug 01 2025

Crossrefs

Cf. A000041, A020919.

partition(11n+k): A036485 (k=0), A036475 (k=1), A036476 (k=2), A036477 (k=3), A036478 (k=4), A036479 (k=5), A000004 (k=6), A036480 (k=7), A036481 (k=8), this sequence (k=9), A036483 (k=10).

Sequence in context: A220667 A317445 A199619 * A273650 A263014 A028721

Adjacent sequences: A036479 A036480 A036481 * A036483 A036484 A036485

Keyword

nonn,easy

Author

David W. Wilson

Extensions

Offset corrected by Amiram Eldar, Aug 01 2025

Status

approved